Question

planes q and r are parallel. lines a and b are shown on planes q and r, respectively. which statement is true about lines a and b? \bigcirc they are parallel lines. \bigcirc they are perpendicular lines. \bigcirc they are skew lines. \bigcirc they will intersect.

Explanation:

Step1: Recall skew lines definition

Skew lines are non - parallel, non - intersecting, and lie in different planes.

Step2: Analyze given planes and lines

Planes \(Q\) and \(R\) are parallel. Line \(a\) is in plane \(Q\) and line \(b\) is in plane \(R\). From the diagram, lines \(a\) and \(b\) are not parallel (their directions are different) and since the planes are parallel, the lines will not intersect. Perpendicular lines intersect at \(90^{\circ}\), but these lines don't intersect. Parallel lines would have the same direction, which they don't. So they are skew lines.

Answer:

They are skew lines.